Differentiating imaginary numbers
Maths and statistics discussion, revision, exam and homework help.
-
Re: Differentiating imaginary numbers
as Slumpy said, i is a constant. However functions of complex variables can be differentiated. This is done by differentiation the real and imaginary parts seperately and using the Cauchy Riemann equations, see: http://en.wikipedia.org/wiki/Cauchy%...mann_equations (its unlikely that page will be understandable if you havent taken at least undergrad real analysis, but you can google for 'complex differentiation' and try to find something more elementary)
-
Re: Differentiating imaginary numbersDoes
make sense?
You can differentiate complex variables though.
Etc.... http://www.ams.org/bookstore/pspdf/mbk-49-prev.pdf -
Re: Differentiating imaginary numbers
for example : http://www.ams.org/bookstore/pspdf/mbk-49-prev.pdf (although this still presupposes a basic background in analysis)
-
Re: Differentiating imaginary numbersThanks(Original post by poohat)
as Slumpy said, i is a constant. However functions of complex variables can be differentiated. This is done by differentiation the real and imaginary parts seperately and using the Cauchy Riemann equations, see: http://en.wikipedia.org/wiki/Cauchy%...mann_equations (its unlikely that page will be understandable if you havent taken at least undergrad real analysis, but you can google for 'complex differentiation' and try to find something more elementary)
-
Re: Differentiating imaginary numbers(Original post by bananarama2)
Does
make sense?
You can differentiate complex variables though.
Etc.... http://www.ams.org/bookstore/pspdf/mbk-49-prev.pdf
(Original post by poohat)
for example : http://www.ams.org/bookstore/pspdf/mbk-49-prev.pdf (although this still presupposes a basic background in analysis)
Snap
-
Re: Differentiating imaginary numbersIgnoring the fact I already told you i is a constant, what are you trying to do here? You've gone from the definition of i to a chain rule version of dy/dx, without having defined a y or x. Then your next line is a bit weird.(Original post by Occams Chainsaw)
So far I have got that

so now I need to differentiate in respects to
right?
-
Re: Differentiating imaginary numbersYour right.(Original post by Slumpy)
Ignoring the fact I already told you i is a constant, what are you trying to do here? You've gone from the definition of i to a chain rule version of dy/dx, without having defined a y or x. Then your next line is a bit weird.
I have just started c1 maths in college but I have been playing around with further maths and certain constants such as i and e and I guess my lack of understanding showed there
Thanks for your help anyway.


Thanks for your help anyway.